Surveying_en.pdf

Surveying made easy
Karl Zeiske
Introduction
This booklet will tell you
about the basic principles
of surveying.
The most important
instruments for surveying
are levels and total stations;
they are intended for
routine survey tasks.
Anyone wishing to know
how and where they are
used will find the answers
here.
• What are the main
features of these
instruments?
• What needs to be taken
into account when
measuring with a level or
with a total station?
• What are the effects of
instrument errors?
• How can such errors be
recognized, determined
and eliminated?
• How can simple
surveying jobs be
performed?
The use of levels and total
stations is illustrated by a
series of practical
examples. In addition,
applications programs are
described; these are
incorporated into the
modern total stations
manufactured by Leica
Geosystems and they solve
survey tasks even more
easily and elegantly.
Equipped with the
knowledge in this booklet,
and with the help of the
appropriate user manual,
anyone can carry out
simple survey tasks
confidently and efficiently.
This booklet does not
describe the range of
instruments available today
from Leica Geosystems;
neither does it touch on
their individual performance
features. These aspects are
covered by the com-
prehensive brochures, by the
technical consultants in the
Leica Geosystems agencies,
and by the home pages in
the Internet
(www.leica-geosystems.com).
2
Contents
The level 4
The total station 5
Coordinates 6
Measuring angles 7
Preparing to measure 8
Setting up the instrument anywhere 8
Levelling-up the instrument 8
Setting up the total station
over a ground point 9
Measuring with the level 10
Height difference between two points 10
Measuring distances optically with the level 11
Line levelling 12
Staking out point heights 13
Longitudinal and transverse profiles 14
The digital level 15
The rotation laser 15
Measuring with the total station 16
Extrapolating a straight line 16
Polar setting-out of a point 16
Plumbing down from a height point 17
Surveys (polar method) 18
Measuring distances without a reflector 19
Automatic target recognition 19
Setting out profile boards 20
Instrument errors 22
Inspecting the line of sight 22
Inspecting the EDM of the total station 23
Instrument errors in the total station 24
Simple surveying tasks 26
Aligning from the mid-point 26
Measuring slopes 27
Measuring right-angles 28
Applications programs 29
Calculating areas 29
Staking out 30
Remote heights 31
Tie distances 32
Free-station surveys 33
The applications programs available 34
Surveying with GPS 35
3
The level
A level essentially
comprises a telescope
rotatable about a vertical
axis; it is used to create
a horizontal line of sight
so that height differences
can be determined
and stakeouts can be
performed.
The Leica Geosystems
levels are also equipped
with a horizontal circle that
is very useful for setting
out right angles, e.g. during
the recording of transverse
profiles. In addition, these
levels can be used to
determine distances
optically with an accuracy
to 0.1 – 0.3 metres.
4
The total station
A total station consists of a
theodolite with a built-in
distance meter (distancer),
and so it can measure
angles and distances at the
same time. Today’s
electronic total stations all
have an opto-electronic
distance meter (EDM) and
electronic angle scanning.
The coded scales of the
horizontal and vertical
circles are scanned
electronically, and then the
angles and distances are
displayed digitally. The
horizontal distance, the
height difference and the
coordinates are calculated
automatically and all
measurements and
additional information can
be recorded.
Leica total stations are
supplied with a software
package that enables
most survey tasks to be
carried out easily, quickly
and elegantly. The most
important of these pro-
grams are presented in
the section "Applications
programs".
Total stations are used
wherever the positions
and heights of points, or
merely their positions,
need to be determined.
The level • The total station
5
P
D
α
Y
X
P
X
Y
α
D
P
y
x
Coordinates
In order to describe the
position of a point, two
coordinates are required.
Polar coordinates need a
line and an angle.
Cartesian coordinates need
two lines within an
orthogonal system.
The total station measures
polar coordinates; these
are recalculated as
Cartesian coordinates
within the given
orthogonal system, either
within the instrument itself
or subsequently in the
office. Recalculation
given: D, α
required: x,y
y = D sin α
x = D cos α
given: x,y
required: D, α
D = √y2 + x2
sin α = y/D or
cos α = x/D
Polar coordinates Cartesian coordinates
Direction of reference Abscissa (x)
Ordinate (y)
6
The level • The total station
Measuring angles
An angle represents the
difference between two
directions.
The horizontal angle α
between the two directions
leading to the points P1
and P2 is independent of
the height difference
between those points,
provided that the telescope
always moves in a strictly
vertical plane when tilted,
whatever its horizontal
orientation. This stipulation
is met only under ideal
conditions.
The vertical angle (also
termed the zenith angle) is
the difference between a
prescribed direction
(namely the direction of
the zenith) and the
direction to the point under
consideration.
The vertical angle is
therefore correct only if the
zero reading of the vertical
circle lies exactly in the
zenith direction, and also
this stipulation is met only
under ideal conditions.
Deviations from the ideal
case are caused by axial
errors in the instrument
and by inadequate
levelling-up (refer to
section: "Instrument
errors").
P1
Z1
Z2
P2
α
Zenith
Z1 = zenith angle to P1
Z2 = zenith angle to P2
α = Horizontal angle
between the two
directions leading to
the points P1 and P2,
i.e. the angle between
two vertical planes
formed by dropping
perpendiculars from P1
and P2 respectively
7
Setting up
the instrument
anywhere
1.Extend the legs of the
tripod as far as is
required and tighten the
screws firmly.
2. Set up the tripod so that
the tripod plate is as
horizontal as possible
and the legs of the
tripod are firm in the
ground.
3. Now, and only now,
place the instrument on
the tripod and secure it
with the central fixing
screw.
Levelling-up the instrument
After setting up the
instrument, level it up
approximately with the
bull’s-eye bubble.
Turn two of the footscrews
together in opposite
directions. The index finger
of your right hand indicates
the direction in which the
bubble should move
(illustration, top right).
Now use the third footscrew
to centre the bubble
(illustration, bottom right).
To check, rotate the instru-
ment 180°. Afterwards, the
bubble should remain
within the setting circle. If it
does not, then readjustment
is required (refer to the user
manual).
For a level, the compen-
sator automatically takes
care of the final levelling-
up. The compensator
consists basically of a
thread-suspended mirror
that directs the horizontal
light beam to the centre of
the crosshair even if there
is residual tilt in the tele-
scope (illustration, bottom).
If now you lightly tap a leg
of the tripod, then (pro-
vided the bull’s-eye bubble
is centred) you will see how
the line of sight swings
about the staff reading and
always steadies at the
same point. This is the
way to test whether or not
the compensator can swing
freely.
B
A
C
B
A
C
8
Preparing to measure
Setting up the total station
over a ground point
1.Place the tripod approxi-
mately over the ground
point.
2.Inspect the tripod from
various sides and correct
its position so that the
tripod plate is roughly
horizontal and above the
ground point (illustration,
top left).
3.Push the tripod legs
firmly into the ground
and use the central fixing
screw to secure the
instrument on the tripod.
4.Switch on the laser
plummet (or, for older
instruments, look
through the optical
plummet) and turn the
footscrews so that the
laser dot or the optical
plummet is centred on
the ground point
(illustration, top right).
5.Centre the bull’s-eye
bubble by adjusting the
lengths of the tripod legs
(illustration below).
6.After accurately levelling
up the instrument, re-
lease the central fixing
screw so that you can
displace it on the tripod
plate until the laser dot
is centred precisely over
the ground point.
7.Tighten the central fixing
screw again.
9
Height difference
between two points
The height difference is
calculated from the
difference between the two
staff readings for the points
A and B respectively.
B
A
27
26
25
24
23
15
14
13
12
11
Reading: 2.521 Reading: 1.345
V = foresight
R = backsight
∆H = R -V = 2.521 - 1.345 = 1.176
10
The basic principle of
levelling involves
determining the height
difference between two
points.
To eliminate systematic
errors related to
atmospheric conditions or
to residual line-of-sight
error, the instrument
should be about
equidistant from the two
points.
Measuring with the level
Measuring distances optically
with the level
The reticle carries two
stadia lines arranged
symmetrically to the
crosshair. Their spacing is
such that the distance can
be derived by multiplying
the corresponding staff
section by 100. (This
diagram is a schematic
representation).
Accuracy of the distance
measurement:
10 – 30 cm
Example:
Reading on upper
stadia line B = 1.829
Reading on lower
stadia line A = 1.603
Staff section
I = B-A = 0.226
Distance = 100 I = 22.6 m
B
A
D
11
R
A
B
∆H
V
R V
R V
H
Station Point Backsight R Foresight V Height Remarks
no.
A 420.300
S1 A +2.806
1 -1.328 421.778 = height A+R-V
S2 1 +0.919
2 -3.376 419.321
S3 2 +3.415
B -1.623 421.113
Sum +7.140 -6.327
-6.327 +0.813 = height B – height A
∆ H +0.813 = height difference AB
Line levelling
If the points A and B are
widely separated, the
height difference between
them is determined by line
levelling with target
distances generally
between 30 and 50 metres.
Pace out the distances
between the instrument
and the two staffs; they
need to be about the same.
1. Set up the instrument
at S1.
2. Set up the staff precisely
vertically at point B; read
off and record the height
(backsight R).
3. Set up the staff at the
turning point 1 (ground
plate or prominent
ground point); read off
and record the height
(foresight V).
4. Set up the instrument at
S2 (the staff remains at
the turning point 1).
5. Carefully rotate the staff
at the turning point 1 so
that it faces the
instrument.
6. Read off the backsight
and continue.
The height difference
between A and B is equal
to the sum of the backsight
and the foresight.
12
S1
S2
1
2
S3
Measuring with the level
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
Staking out point heights
In an excavation, a point B
is to be set out at a height
∆H = 1.00 metre below
street level (Point A).
1.Set up the level so that
the sighting distances to
A and B are about the
same.
2.Set up the staff at A
and read off the
backsight R = 1.305.
3.Set up the staff at B
and read off the foresight
V = 2.520.
The difference h from the
required height at B is
calculated as:
h = V – R - ∆H = 2.520 –
1.305 – 1.00 = +0.215m
4.Drive in a post at B and
mark the required height
(0.215m above ground
level).
V=2.520
A
∆H
B
R=1.305
h= +0.215 m
∆H= 1.00 m
In another frequently-used
method, the required staff
reading is calculated in
advance:
V= R - ∆H = 1.305 - (-1.000)
= 2.305
The levelling staff is then
moved upwards or down-
wards until the required
value can be read off with
the level.
13
A
B
Longitudinal and transverse profiles
Longitudinal and transverse
profiles form the basis for
the detailed planning and
stakeout of communications
routes (e.g. roads) and also
for the calculation of fill and
for the best possible accom-
modation of the routes to
the topography. First of all
the longitudinal axis (road-
line) is staked out and
stationed; this means that
points are established and
marked at regular intervals.
A longitudinal profile is
then created along the
roadline, the heights of the
station points being deter-
mined by line levelling. At
the station points and at
prominent topographic fea-
tures, transverse profiles (at
right-angles to the roadline)
are then recorded. The
ground heights for the
points in the transverse
profile are determined with
the aid of the known
instrument height. First, po-
sition the staff at a known
station point; the instru-
ment height comprises the
sum of the staff reading
and the station point height.
Now subtract the staff
readings (at the points on
the transverse profile)
from the instrument height;
this gives the heights of the
points involved.
The distances from the
station point to the various
points in the transverse
profiles are determined
either with the surveyor’s
tape or optically using the
level. When representing a
longitudinal profile graphi-
cally, the heights of the
station points are expressed
at a much bigger scale (e.g.
10x greater) than that of
the stationing of the longi-
tudinal direction, which is
related to a round reference
height (illustration above).
Roadline
(planned)
Terrain
Reference height: 420 m
Reference height: 420 m
25 m
(planned
height)
Longitudinal profile
Transverse profile 175
14
Measuring with the level
The digital level
The rotation laser
The digital levels from Leica
Geosystems are the first
ones in the world to be
equipped with digital elec-
tronic image processing for
the determination of heights
and distances; the bar code
on a staff is read by electro-
nic means, completely auto-
matically (see illustration).
The staff reading and the
distance are displayed
digitally and can be recor-
ded; the heights of
If, on a large construction
site for example, a large
number of points at
different heights need to be
staked out or monitored,
it often makes sense to use
a rotation laser. In this type
of instrument, a rotating
laser beam sweeps out a
horizontal plane, which
serves as the reference
plane for staking out or
monitoring heights such as
four-foot marks.
A detector is slid down a
levelling staff until it
encounters the laser beam;
the height can then be read
directly from the staff.
There is no need for an
observer at the instrument
station.
the staff stations are calcu-
lated continuously and so
there can be no errors re-
lated to reading, recording
and calculating. Leica Geo-
systems can offer software
packages for post-pro-
cessing the recorded data.
A digital level is recom-
mended for use where a lot
of levelling needs to be
carried out; under these
circumstances the saving
in time can amount to 50%.
15
Extrapolating a straight line
1.Position the instrument
at point B.
2.Target point A, transit the
telescope (i.e. reverse it)
and mark point C1.
3.Turn the instrument 200
gon (180°) and target
point A again.
4.Transit the telescope
again and mark the point
C2. Point C, the mid-point
between C1 and C2,
corresponds exactly to
the extrapolation of the
line AB.
A line-of-sight error is re-
sponsible for the discre-
pancy between C1 and C2.
Where the line of sight is
inclined, the influence of
the errors is a combination
of target error, tilting-axis
error and vertical-axis error.
The setting-out elements
(angle and distance) here
relate to a known point A
and to a known starting
direction from A to B.
1.Set up the instrument
at point A and target the
point B.
2.Set the horizontal circle
to zero (refer to the user
manual).
3.Rotate the instrument
until a appears in the
display.
4.Guide the reflector
carrier (person) into and
along the line of sight of
the telescope, continually
measuring the horizontal
distance until point P is
reached.
A B
C1
C2
C
B
P
D
A
α
Polar setting-out of a point
16
A
B
C
Measuring with a total station
Plumbing down from a height point
Plumbing down from a
height point, plumbing up
from a ground point, and
inspecting a vertical line on
a structure, can be carried
out exactly in just one tele-
scope face, but only if the
telescope describes a pre-
cisely-vertical plane when
it is tilted. To ascertain
that this is so, proceed as
follows:
1.Target a high point A,
then tilt the telescope
downwards and mark the
ground point B.
2.Transit the telescope,
and repeat the procedure
in the second face. Mark
the point C.
The mid-point between the
points B and C is the exact
plumbing point.
The reason why these two
points do not coincide can
be a tilting-axis error
and/or an inclined vertical
axis.
For work of this type, make
sure that the total station
has been levelled up pre-
cisely, so that the influence
of vertical-axis tilt on steep
sights is minimized.
17
Surveys (polar method)
To create e.g. a location
plan, the position and
height of a point on the
object are determined by
measuring angles and
distances. To do this, the
instrument is set up on
any prominent point in a
local coordinate system.
A second prominent point
is selected for the purposes
of orientation; after this
has been targeted the
horizontal circle is set to
zero (refer to the user
manual).
If a coordinate system
already exists, set up the
instrument on a known
point within it and line up
the horizontal circle with
a second known point
(refer to the user manual).
18
Measuring with the total station
Measuring distances
without a reflector
Each of the TCR total
stations from Leica
Geosystems includes not
only a conventional infra-
red distancer that measu-
res to prisms, but also an
integrated laser distancer
that requires no reflector.
You can switch between
these two distancers.
This arrangement brings
many advantages where
points are accessible only
with difficulty or not at all,
for example during the
recording of frontages, in
positioning pipes and
for measurements across
gorges or fences.
The visible red laser dot is
also suitable for marking
targets in connection with
the recording of tunnel
profiles or with indoor
work.
The "DISTO" hand-held
laser meter from Leica
Geosystems is another
simple instrument that
uses a visible laser beam
and needs no reflector; it is
particularly suitable for
indoor measurements to
ascertain spacings, areas
and volumes.
Automatic target recognition
The TCA total stations from
Leica Geosystems are
equipped with an automatic
target-recognition system
("ATR"). This makes tar-
geting faster and easier. It is
enough to point the tele-
scope approximately at the
reflector; a touch on a
button then automatically
triggers the fine pointing
and the angle- and distance
measurements, and records
all of the values. This
technology also makes it
possible to carry out fully-
automatic measurements
with the help of a computer.
The ATR can also be
switched to a mode in
which moving targets can
be followed and measured;
after establishing the initial
contact with the target the
instrument locks on to it
and tracks it. The practical
applications of this option
include the precise
guidance of construction
machinery.
Advantages of ATR: High
speed of measurement,
combined with a constant
measuring accuracy that
is independent of the
observer.
19
Setting out profile boards
During building alignment,
it is useful to extrapolate
the sides of the building to
beyond the limits of the ex-
cavation and there to erect
profile boards on which the
extensions are marked
exactly by hammering in
nails. These can be connec-
ted to strings or wires at
any time during the con-
struction sequence, indi-
cating the required
positions of the walls.
In the following example,
profile boards are to be
erected parallel to the pro-
posed walls of a large
building and at distances of
a and b respectively from
the boundaries (illustration,
left).
1.Establish a baseline AB
parallel to the left-hand
boundary and at a freely-
selectable distance c.
2.Mark the point A at the
defined distance d from
the upper boundary; it
will be the first location
for the total station.
3.Using a boning rod, mark
the point B at the end of
the baseline.
4.Set up the total station on
point A, target point B,
and set out the points A1,
A2 and A3 in this align-
ment in accordance with
the planned length of the
side of the building.
5.With point B sighted, set
the horizontal circle to
zero, turn the total station
by 100 gon (90°) and set
out the second line AC
with the points A4, A5
and A6.
6.The points on the profile
boards are then set out
in a similar manner,
starting from the points
A1 to A6 respectively.
If the foundations have not
yet been excavated, you
can set out the sides H1H2
and H1H3 of the building
directly and use them as
the starting line for
marking the points on the
profile boards.
For smaller buildings it is
easier to set out the profile
boards using an optical
square (right-angle prism)
and a measuring tape.
A building-alignment
software program
incorporated into many
Leica total stations enables
profile boards to be set out
directly, starting with any
instrument station.
20
Measuring with the total station
21
1.549 1.404
A
B
∆H
d d
30m
A
B
∆H
Soll 1.351
Ist 1.496
Inspecting the line of sight (two-peg test)
In new levels, the com-
pensator has been adjusted
at room temperature, so
that the line of sight is hori-
zontal even if the instru-
ment is tilted slightly. This
situation changes if the
temperature fluctuates by
more than ten or fifteen
degrees, after a long jour-
ney, or if the instrument is
subjected to strong vibra-
tion. It is then advisable to
inspect the line of sight,
particularly if more than
one target distance is
being used.
1.In flat terrain, set up two
staffs not more than 30
metres apart.
2.Set up the instrument
so that it is equidistant
from the two staffs (it
is enough to pace out the
distance)
3.Read off from both staffs
and calculate the height
difference (illustration
above).
Staff reading A = 1.549
Staff reading B = 1.404
∆H = A – B = 0.145
4.Set up the instrument
about one metre in front
of staff A and take the
staff reading (illustration
below).
Staff reading A = 1.496
5.Calculate the required
reading B:
Staff reading A = 1.496
- ∆H = 0.145
Required reading
B = 1.351
6.Take the staff reading B.
If it differs from the
required reading by more
than 3mm, adjust the line
of sight (refer to
instruction manual).
22
Actual Required 1.351
Instrument errors
Inspecting the EDM
of the total station
Permanently mark four
runs within the range
typical for the user (e.g.
between 20 m and 200 m).
Using a new distancer, or
one that has been cali-
brated on a standard
baseline, measure these
distances three times.
The mean values, corrected
for atmospheric influences
(refer to the user manual)
can be regarded as being
the required values.
Using these four runs, mea-
sure with each distancer
at least four times per year.
Provided that there are no
systematic errors in excess
of the expected measuring
uncertainty, the distancer is
in order.
23
Instrument errors in the total station
Ideally, the total station
should meet the following
requirements:
a) Line of sight ZZ perpen-
dicular to tilting axis KK
b) Tilting axis KK perpen-
dicular to vertical axis VV
c) Vertical axis VV strictly
vertical
d) Vertical-circle reading
precisely zero at the zenith
If these conditions are not
met, the following terms are
used to describe the
particular errors:
a) Line-of-sight error, or colli-
mation error c (deviation
from the right angle bet-
ween the line of sight and
the tilting axis)
b) Tilting-axis error a (devia-
tion from the right angle
between the tilting axis
and the vertical axis)
c) Vertical-axis tilt (angle
between plumb line and
vertical axis).
The effects of these three
errors on the measurement
of horizontal angles increase
with the height difference
between the target points.
Taking measurements in both
telescope faces eliminates
line-of-sight errors and
tilting-axis errors. The line-of-
sight error (and, for highly-
precise total stations, also
the tilting-axis error, which is
generally very small) can
also be determined and
stored. These errors are then
taken into consideration
automatically whenever an
angle is measured, and then
it is possible to take mea-
surements practically free of
error even using just one
telescope face. The deter-
mination of these errors, and
their storage, are described
in detail in the appropriate
user manual. Vertical-axis tilt
does not rate as being an
instrument error; it arises
because the instrument has
not been adequately levelled
up, and measuring in both
telescope faces cannot
eliminate it. Its influence on
the measurement of the
horizontal and vertical angles
is automatically corrected by
means of a two-axis
compensator.
d) Height-index error i (the
angle between the zenith
direction and the zero
reading of the vertical
circle, i.e. the vertical-
circle reading when using
a horizontal line of sight),
is not 100 gon (90°), but
100 gon + i.
By measuring in both faces
and then averaging, the
index error is eliminated; it
can also be determined and
stored.
Note:
The instrument errors
change with temperature,
as a result of vibration, and
after long periods of
transport. If you want to
measure in just one face,
then immediately before
the measurements you
must determine the
instrument errors and store
them.
V
V
K
K
Z
Z
24
Instrument errors
25
Vertical-axis tilt
Line-of-sight error (c)
(Hz collimation)
Height-index error (i)
(V index)
Tilting-axis error (a)
Aligning from the mid-point
If intermediate points are
to be aligned within a line
of measurement and each
of the two end points
cannot be seen from the
other, proceed as follows:
1.Select two points 1 and 2
(both approximately in
the alignment) from
which both end points A
and E are visible. Use
sight poles to mark the
points.
2.From point 1, align point
2 in the straight line 1 – A
3.From point 2, align point
3 in the straight line 2 – E
4.From point 3, align point
4 in the straight line 3 – A
and continue in the same
manner until no further
lateral deviations are
visible at the two inter-
mediate points.
A
E
A E
1
3
2
4
26
Simple surveying tasks
Measuring slopes
If slopes are to be deter-
mined in % or to be staked
out, e.g. for gutters,
pipelines or foundations,
two different methods are
available.
1. With a level
Measure the height
difference and the
distance (either optically
with the stadia hairs or
with the tape). The slope
is calculated as follows:
100 ∆H / D = slope in %
2. With a theodolite or
total station
Place the instrument on
a point along the
straight line the slope of
which is to be deter-
mined, and position a
staff at a second point
along that line.
Using the telescope,
determine the instrument
height i at the staff.
The vertical-circle reading
giving the zenith angle
in gon or degrees can be
reset to % (refer to user
manual) so that the slope
can be read off directly
in %. The distance is
irrelevant.
A reflector pole fitted with
a prism can be used
instead of the staff. Extend
the reflector pole to the
instrument height i and use
the telescope to target the
centre of the prism.
∆H
D
i
i
V%
27
Measuring right-angles
The most accurate way to
set out a right-angle is to
use a theodolite or a total
station. Position the
instrument on the point
along the survey line from
which the right-angle is to
be set out, target the end
point of the survey line, set
the horizontal circle to zero
(see user manual) and turn
the total station until the
horizontal circle reading is
100 gon (90°).
For setting out a right-
angle where the accuracy
requirements are less
demanding, e.g. for small
buildings or when
determining longitudinal
and transverse profiles, the
horizontal circle of a level
can be used. Set up the
level over the appropriate
point of the survey line
with the help of a plumb
bob suspended from the
central fixing screw of the
tripod. Then turn the
horizontal circle by hand to
zero in the direction of the
survey line or of the
longitudinal profile. Finally,
turn the level until the
index of the circle is set to
100 gon (90°).
An optical square is the
best solution for the
orthogonal surveying of a
point on a survey line or
vice versa, and for the
setting out at right-angles
of a point in the near
distance. The beam of light
from the object point is
turned through 90° by a
pentagonal prism so that it
reaches the observer. The
optical square consists of
two superimposed
pentagonal prisms with
their fields of view facing
right and left respectively.
Between the two prisms is
an unrestricted view of the
object point. You as the
observer can position
yourself in the survey line
(defined by two vertically-
positioned alignment rods)
in that you move perpen-
dicularly to the line until
you see the images of the
two rods exactly super-
imposed. Then you move
yourself along the survey
line until the object point
and the two images of the
alignment rods all coincide.
28
Applications programs
Calculating areas
A
B
C
D
A
1. Set up the total station
in the terrain so that it is
within view of the entire
area to be surveyed. It is
not necessary to position
the horizontal circle.
2. Determine the boundary
points of the area
sequentially in the
clockwise direction. You
must always measure a
distance.
3. Afterwards, the area is
calculated automatically
at the touch of a button
and is displayed.
29
P'
∆D
P
N
α
1. Set up the instrument at
a known point and
position the horizontal
circle (refer to the sec-
tion "Setting the station”
in the user manual).
2.Enter manually the coor-
dinates of the point to be
staked out. The program
automatically calculates
direction and distance
(the two parameters
needed for staking out).
3.Turn the total station
until the horizontal circle
reads zero.
4.Position the reflector at
this point (point P’).
5.Measure the distance;
the difference in the
distance ∆D to the point
P will be displayed
automatically.
Alternatively, the coordi-
nates of the points to be
staked out can be trans-
ferred beforehand, back in
the office, from the
computer to the total
station. Under these
circumstances, in order to
stake out, only the point
number then needs to be
entered.
Staking out
30
Applications programs
1. Set up a reflector verti-
cally beneath that point
the height of which is to
be determined. The total
station itself can be
situated anywhere.
2.Measure the distance to
the reflector.
3.Target the high point.
4.The height difference H
between the ground
point and the high point
is now calculated at the
touch of a button and is
displayed.
Remote heights
H
31
The program determines
the distance and height
difference between two
points.
1.Set up the total station at
any location.
2.Measure the distance to
each of the two points A
and B.
3.The distance D and the
height difference H are
displayed at the touch of
a button.
Tie distances
32
Applications programs
N (x)
Hz=0
H
E (y)
This program calculates
the position and height of
the instrument station,
along with the orientation
of the horizontal circle,
from measurements to at
least two points, the
coordinates of which are
known.
The coordinates of the tie
points can be entered
manually or they can be
stored in the instrument
beforehand.
Free stationing has the
great advantage that, for
large projects involving
surveying or staking out,
you can choose the most
favourable station for the
instrument. You are no
longer forced to use a
known point that is in an
unsatisfactory location.
Free-station surveys
The options for measuring,
and the measuring
procedure, are described in
detail in the user manuals.
Note:
When performing survey
tasks that involve
determining heights or
staking them out, always
remember to take the
height of the instrument
and that of the reflector
into account.
33
34
GPS surveys use the
signals transmitted by
satellites having trajectories
such that any point on the
Earth’s surface can be
determined around the
clock and independently of
weather conditions. The
positioning accuracy
depends on the type of
GPS receiver and on the
observation and post-
processing techniques
used.
Compared with the use of a
total station, GPS surveying
offers the advantage that
the points to be measured
do not have to be mutually
visible. Today, provided
that the sky is relatively
unobstructed (by trees,
buildings etc.) and there-
fore that adequate satellite
signals can be received,
GPS equipment can be
applied to many survey
Surveying with GPS
tasks that until recently
were carried out using
electronic total stations.
The new GPS System 1200
from Leica Geosystems
enables the most diverse
range of survey tasks to be
carried out with centimetre
accuracy – on the tripod;
on the plumbing pole; on
ships, vehicles and
construction plant; and
using both static and
kinematic applications.
Surveying with GPS
Also known as a Conti-
nuously Operating Refe-
rence Station (CORS), this
is typically a dual-frequency
GPS receiver located at
known coordinates,
supplied with permanent
power and connected to
several communication
devices.
A CORS normally logs GPS
data for use in post-
processing tasks, or
supplies real-time GPS
correction data to DGPS
and/or RTK applications. In
many cases, it performs
both tasks satisfying the
demands of many different
applications including
surveying, engineering,
construction, geodetic
control, GIS, monitoring,
tectonic studies and hydro-
graphy. With additional
CORS, larger areas even
countries can be covered
GPS Reference Stations
35
with a CORS Network
infrastructure.
CORS are controlled
remotely by a specialised
software program, such as
Leica GPS Spider, which
connects to the CORS via a
range of telecommuni-
cation media; serial, radio
or phone modem, even the
Internet. Once configured,
a CORS network with
GPS1200 and GPS500
receivers will run con-
tinuously supplying the full
range of GPS data, DGPS,
RTK and network RTK
services to users in the
network.
Leica Geosystems AG
CH-9435 Heerbrugg
(Switzerland)
Phone +41 71 727 31 31
Fax +41 71 727 46 73
www.leica-geosystems.com
Illustrations, descriptions and technical data are not binding and
may be changed. Printed in Switzerland.
Copyright Leica Geosystems AG, Heerbrugg, Switzerland, 2004
722510en – VII.04 – RVA
1 de 36

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Surveying_en.pdf

  • 2. Introduction This booklet will tell you about the basic principles of surveying. The most important instruments for surveying are levels and total stations; they are intended for routine survey tasks. Anyone wishing to know how and where they are used will find the answers here. • What are the main features of these instruments? • What needs to be taken into account when measuring with a level or with a total station? • What are the effects of instrument errors? • How can such errors be recognized, determined and eliminated? • How can simple surveying jobs be performed? The use of levels and total stations is illustrated by a series of practical examples. In addition, applications programs are described; these are incorporated into the modern total stations manufactured by Leica Geosystems and they solve survey tasks even more easily and elegantly. Equipped with the knowledge in this booklet, and with the help of the appropriate user manual, anyone can carry out simple survey tasks confidently and efficiently. This booklet does not describe the range of instruments available today from Leica Geosystems; neither does it touch on their individual performance features. These aspects are covered by the com- prehensive brochures, by the technical consultants in the Leica Geosystems agencies, and by the home pages in the Internet (www.leica-geosystems.com). 2
  • 3. Contents The level 4 The total station 5 Coordinates 6 Measuring angles 7 Preparing to measure 8 Setting up the instrument anywhere 8 Levelling-up the instrument 8 Setting up the total station over a ground point 9 Measuring with the level 10 Height difference between two points 10 Measuring distances optically with the level 11 Line levelling 12 Staking out point heights 13 Longitudinal and transverse profiles 14 The digital level 15 The rotation laser 15 Measuring with the total station 16 Extrapolating a straight line 16 Polar setting-out of a point 16 Plumbing down from a height point 17 Surveys (polar method) 18 Measuring distances without a reflector 19 Automatic target recognition 19 Setting out profile boards 20 Instrument errors 22 Inspecting the line of sight 22 Inspecting the EDM of the total station 23 Instrument errors in the total station 24 Simple surveying tasks 26 Aligning from the mid-point 26 Measuring slopes 27 Measuring right-angles 28 Applications programs 29 Calculating areas 29 Staking out 30 Remote heights 31 Tie distances 32 Free-station surveys 33 The applications programs available 34 Surveying with GPS 35 3
  • 4. The level A level essentially comprises a telescope rotatable about a vertical axis; it is used to create a horizontal line of sight so that height differences can be determined and stakeouts can be performed. The Leica Geosystems levels are also equipped with a horizontal circle that is very useful for setting out right angles, e.g. during the recording of transverse profiles. In addition, these levels can be used to determine distances optically with an accuracy to 0.1 – 0.3 metres. 4
  • 5. The total station A total station consists of a theodolite with a built-in distance meter (distancer), and so it can measure angles and distances at the same time. Today’s electronic total stations all have an opto-electronic distance meter (EDM) and electronic angle scanning. The coded scales of the horizontal and vertical circles are scanned electronically, and then the angles and distances are displayed digitally. The horizontal distance, the height difference and the coordinates are calculated automatically and all measurements and additional information can be recorded. Leica total stations are supplied with a software package that enables most survey tasks to be carried out easily, quickly and elegantly. The most important of these pro- grams are presented in the section "Applications programs". Total stations are used wherever the positions and heights of points, or merely their positions, need to be determined. The level • The total station 5
  • 6. P D α Y X P X Y α D P y x Coordinates In order to describe the position of a point, two coordinates are required. Polar coordinates need a line and an angle. Cartesian coordinates need two lines within an orthogonal system. The total station measures polar coordinates; these are recalculated as Cartesian coordinates within the given orthogonal system, either within the instrument itself or subsequently in the office. Recalculation given: D, α required: x,y y = D sin α x = D cos α given: x,y required: D, α D = √y2 + x2 sin α = y/D or cos α = x/D Polar coordinates Cartesian coordinates Direction of reference Abscissa (x) Ordinate (y) 6
  • 7. The level • The total station Measuring angles An angle represents the difference between two directions. The horizontal angle α between the two directions leading to the points P1 and P2 is independent of the height difference between those points, provided that the telescope always moves in a strictly vertical plane when tilted, whatever its horizontal orientation. This stipulation is met only under ideal conditions. The vertical angle (also termed the zenith angle) is the difference between a prescribed direction (namely the direction of the zenith) and the direction to the point under consideration. The vertical angle is therefore correct only if the zero reading of the vertical circle lies exactly in the zenith direction, and also this stipulation is met only under ideal conditions. Deviations from the ideal case are caused by axial errors in the instrument and by inadequate levelling-up (refer to section: "Instrument errors"). P1 Z1 Z2 P2 α Zenith Z1 = zenith angle to P1 Z2 = zenith angle to P2 α = Horizontal angle between the two directions leading to the points P1 and P2, i.e. the angle between two vertical planes formed by dropping perpendiculars from P1 and P2 respectively 7
  • 8. Setting up the instrument anywhere 1.Extend the legs of the tripod as far as is required and tighten the screws firmly. 2. Set up the tripod so that the tripod plate is as horizontal as possible and the legs of the tripod are firm in the ground. 3. Now, and only now, place the instrument on the tripod and secure it with the central fixing screw. Levelling-up the instrument After setting up the instrument, level it up approximately with the bull’s-eye bubble. Turn two of the footscrews together in opposite directions. The index finger of your right hand indicates the direction in which the bubble should move (illustration, top right). Now use the third footscrew to centre the bubble (illustration, bottom right). To check, rotate the instru- ment 180°. Afterwards, the bubble should remain within the setting circle. If it does not, then readjustment is required (refer to the user manual). For a level, the compen- sator automatically takes care of the final levelling- up. The compensator consists basically of a thread-suspended mirror that directs the horizontal light beam to the centre of the crosshair even if there is residual tilt in the tele- scope (illustration, bottom). If now you lightly tap a leg of the tripod, then (pro- vided the bull’s-eye bubble is centred) you will see how the line of sight swings about the staff reading and always steadies at the same point. This is the way to test whether or not the compensator can swing freely. B A C B A C 8
  • 9. Preparing to measure Setting up the total station over a ground point 1.Place the tripod approxi- mately over the ground point. 2.Inspect the tripod from various sides and correct its position so that the tripod plate is roughly horizontal and above the ground point (illustration, top left). 3.Push the tripod legs firmly into the ground and use the central fixing screw to secure the instrument on the tripod. 4.Switch on the laser plummet (or, for older instruments, look through the optical plummet) and turn the footscrews so that the laser dot or the optical plummet is centred on the ground point (illustration, top right). 5.Centre the bull’s-eye bubble by adjusting the lengths of the tripod legs (illustration below). 6.After accurately levelling up the instrument, re- lease the central fixing screw so that you can displace it on the tripod plate until the laser dot is centred precisely over the ground point. 7.Tighten the central fixing screw again. 9
  • 10. Height difference between two points The height difference is calculated from the difference between the two staff readings for the points A and B respectively. B A 27 26 25 24 23 15 14 13 12 11 Reading: 2.521 Reading: 1.345 V = foresight R = backsight ∆H = R -V = 2.521 - 1.345 = 1.176 10 The basic principle of levelling involves determining the height difference between two points. To eliminate systematic errors related to atmospheric conditions or to residual line-of-sight error, the instrument should be about equidistant from the two points.
  • 11. Measuring with the level Measuring distances optically with the level The reticle carries two stadia lines arranged symmetrically to the crosshair. Their spacing is such that the distance can be derived by multiplying the corresponding staff section by 100. (This diagram is a schematic representation). Accuracy of the distance measurement: 10 – 30 cm Example: Reading on upper stadia line B = 1.829 Reading on lower stadia line A = 1.603 Staff section I = B-A = 0.226 Distance = 100 I = 22.6 m B A D 11
  • 12. R A B ∆H V R V R V H Station Point Backsight R Foresight V Height Remarks no. A 420.300 S1 A +2.806 1 -1.328 421.778 = height A+R-V S2 1 +0.919 2 -3.376 419.321 S3 2 +3.415 B -1.623 421.113 Sum +7.140 -6.327 -6.327 +0.813 = height B – height A ∆ H +0.813 = height difference AB Line levelling If the points A and B are widely separated, the height difference between them is determined by line levelling with target distances generally between 30 and 50 metres. Pace out the distances between the instrument and the two staffs; they need to be about the same. 1. Set up the instrument at S1. 2. Set up the staff precisely vertically at point B; read off and record the height (backsight R). 3. Set up the staff at the turning point 1 (ground plate or prominent ground point); read off and record the height (foresight V). 4. Set up the instrument at S2 (the staff remains at the turning point 1). 5. Carefully rotate the staff at the turning point 1 so that it faces the instrument. 6. Read off the backsight and continue. The height difference between A and B is equal to the sum of the backsight and the foresight. 12 S1 S2 1 2 S3
  • 13. Measuring with the level 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Staking out point heights In an excavation, a point B is to be set out at a height ∆H = 1.00 metre below street level (Point A). 1.Set up the level so that the sighting distances to A and B are about the same. 2.Set up the staff at A and read off the backsight R = 1.305. 3.Set up the staff at B and read off the foresight V = 2.520. The difference h from the required height at B is calculated as: h = V – R - ∆H = 2.520 – 1.305 – 1.00 = +0.215m 4.Drive in a post at B and mark the required height (0.215m above ground level). V=2.520 A ∆H B R=1.305 h= +0.215 m ∆H= 1.00 m In another frequently-used method, the required staff reading is calculated in advance: V= R - ∆H = 1.305 - (-1.000) = 2.305 The levelling staff is then moved upwards or down- wards until the required value can be read off with the level. 13 A B
  • 14. Longitudinal and transverse profiles Longitudinal and transverse profiles form the basis for the detailed planning and stakeout of communications routes (e.g. roads) and also for the calculation of fill and for the best possible accom- modation of the routes to the topography. First of all the longitudinal axis (road- line) is staked out and stationed; this means that points are established and marked at regular intervals. A longitudinal profile is then created along the roadline, the heights of the station points being deter- mined by line levelling. At the station points and at prominent topographic fea- tures, transverse profiles (at right-angles to the roadline) are then recorded. The ground heights for the points in the transverse profile are determined with the aid of the known instrument height. First, po- sition the staff at a known station point; the instru- ment height comprises the sum of the staff reading and the station point height. Now subtract the staff readings (at the points on the transverse profile) from the instrument height; this gives the heights of the points involved. The distances from the station point to the various points in the transverse profiles are determined either with the surveyor’s tape or optically using the level. When representing a longitudinal profile graphi- cally, the heights of the station points are expressed at a much bigger scale (e.g. 10x greater) than that of the stationing of the longi- tudinal direction, which is related to a round reference height (illustration above). Roadline (planned) Terrain Reference height: 420 m Reference height: 420 m 25 m (planned height) Longitudinal profile Transverse profile 175 14
  • 15. Measuring with the level The digital level The rotation laser The digital levels from Leica Geosystems are the first ones in the world to be equipped with digital elec- tronic image processing for the determination of heights and distances; the bar code on a staff is read by electro- nic means, completely auto- matically (see illustration). The staff reading and the distance are displayed digitally and can be recor- ded; the heights of If, on a large construction site for example, a large number of points at different heights need to be staked out or monitored, it often makes sense to use a rotation laser. In this type of instrument, a rotating laser beam sweeps out a horizontal plane, which serves as the reference plane for staking out or monitoring heights such as four-foot marks. A detector is slid down a levelling staff until it encounters the laser beam; the height can then be read directly from the staff. There is no need for an observer at the instrument station. the staff stations are calcu- lated continuously and so there can be no errors re- lated to reading, recording and calculating. Leica Geo- systems can offer software packages for post-pro- cessing the recorded data. A digital level is recom- mended for use where a lot of levelling needs to be carried out; under these circumstances the saving in time can amount to 50%. 15
  • 16. Extrapolating a straight line 1.Position the instrument at point B. 2.Target point A, transit the telescope (i.e. reverse it) and mark point C1. 3.Turn the instrument 200 gon (180°) and target point A again. 4.Transit the telescope again and mark the point C2. Point C, the mid-point between C1 and C2, corresponds exactly to the extrapolation of the line AB. A line-of-sight error is re- sponsible for the discre- pancy between C1 and C2. Where the line of sight is inclined, the influence of the errors is a combination of target error, tilting-axis error and vertical-axis error. The setting-out elements (angle and distance) here relate to a known point A and to a known starting direction from A to B. 1.Set up the instrument at point A and target the point B. 2.Set the horizontal circle to zero (refer to the user manual). 3.Rotate the instrument until a appears in the display. 4.Guide the reflector carrier (person) into and along the line of sight of the telescope, continually measuring the horizontal distance until point P is reached. A B C1 C2 C B P D A α Polar setting-out of a point 16
  • 17. A B C Measuring with a total station Plumbing down from a height point Plumbing down from a height point, plumbing up from a ground point, and inspecting a vertical line on a structure, can be carried out exactly in just one tele- scope face, but only if the telescope describes a pre- cisely-vertical plane when it is tilted. To ascertain that this is so, proceed as follows: 1.Target a high point A, then tilt the telescope downwards and mark the ground point B. 2.Transit the telescope, and repeat the procedure in the second face. Mark the point C. The mid-point between the points B and C is the exact plumbing point. The reason why these two points do not coincide can be a tilting-axis error and/or an inclined vertical axis. For work of this type, make sure that the total station has been levelled up pre- cisely, so that the influence of vertical-axis tilt on steep sights is minimized. 17
  • 18. Surveys (polar method) To create e.g. a location plan, the position and height of a point on the object are determined by measuring angles and distances. To do this, the instrument is set up on any prominent point in a local coordinate system. A second prominent point is selected for the purposes of orientation; after this has been targeted the horizontal circle is set to zero (refer to the user manual). If a coordinate system already exists, set up the instrument on a known point within it and line up the horizontal circle with a second known point (refer to the user manual). 18
  • 19. Measuring with the total station Measuring distances without a reflector Each of the TCR total stations from Leica Geosystems includes not only a conventional infra- red distancer that measu- res to prisms, but also an integrated laser distancer that requires no reflector. You can switch between these two distancers. This arrangement brings many advantages where points are accessible only with difficulty or not at all, for example during the recording of frontages, in positioning pipes and for measurements across gorges or fences. The visible red laser dot is also suitable for marking targets in connection with the recording of tunnel profiles or with indoor work. The "DISTO" hand-held laser meter from Leica Geosystems is another simple instrument that uses a visible laser beam and needs no reflector; it is particularly suitable for indoor measurements to ascertain spacings, areas and volumes. Automatic target recognition The TCA total stations from Leica Geosystems are equipped with an automatic target-recognition system ("ATR"). This makes tar- geting faster and easier. It is enough to point the tele- scope approximately at the reflector; a touch on a button then automatically triggers the fine pointing and the angle- and distance measurements, and records all of the values. This technology also makes it possible to carry out fully- automatic measurements with the help of a computer. The ATR can also be switched to a mode in which moving targets can be followed and measured; after establishing the initial contact with the target the instrument locks on to it and tracks it. The practical applications of this option include the precise guidance of construction machinery. Advantages of ATR: High speed of measurement, combined with a constant measuring accuracy that is independent of the observer. 19
  • 20. Setting out profile boards During building alignment, it is useful to extrapolate the sides of the building to beyond the limits of the ex- cavation and there to erect profile boards on which the extensions are marked exactly by hammering in nails. These can be connec- ted to strings or wires at any time during the con- struction sequence, indi- cating the required positions of the walls. In the following example, profile boards are to be erected parallel to the pro- posed walls of a large building and at distances of a and b respectively from the boundaries (illustration, left). 1.Establish a baseline AB parallel to the left-hand boundary and at a freely- selectable distance c. 2.Mark the point A at the defined distance d from the upper boundary; it will be the first location for the total station. 3.Using a boning rod, mark the point B at the end of the baseline. 4.Set up the total station on point A, target point B, and set out the points A1, A2 and A3 in this align- ment in accordance with the planned length of the side of the building. 5.With point B sighted, set the horizontal circle to zero, turn the total station by 100 gon (90°) and set out the second line AC with the points A4, A5 and A6. 6.The points on the profile boards are then set out in a similar manner, starting from the points A1 to A6 respectively. If the foundations have not yet been excavated, you can set out the sides H1H2 and H1H3 of the building directly and use them as the starting line for marking the points on the profile boards. For smaller buildings it is easier to set out the profile boards using an optical square (right-angle prism) and a measuring tape. A building-alignment software program incorporated into many Leica total stations enables profile boards to be set out directly, starting with any instrument station. 20
  • 21. Measuring with the total station 21
  • 22. 1.549 1.404 A B ∆H d d 30m A B ∆H Soll 1.351 Ist 1.496 Inspecting the line of sight (two-peg test) In new levels, the com- pensator has been adjusted at room temperature, so that the line of sight is hori- zontal even if the instru- ment is tilted slightly. This situation changes if the temperature fluctuates by more than ten or fifteen degrees, after a long jour- ney, or if the instrument is subjected to strong vibra- tion. It is then advisable to inspect the line of sight, particularly if more than one target distance is being used. 1.In flat terrain, set up two staffs not more than 30 metres apart. 2.Set up the instrument so that it is equidistant from the two staffs (it is enough to pace out the distance) 3.Read off from both staffs and calculate the height difference (illustration above). Staff reading A = 1.549 Staff reading B = 1.404 ∆H = A – B = 0.145 4.Set up the instrument about one metre in front of staff A and take the staff reading (illustration below). Staff reading A = 1.496 5.Calculate the required reading B: Staff reading A = 1.496 - ∆H = 0.145 Required reading B = 1.351 6.Take the staff reading B. If it differs from the required reading by more than 3mm, adjust the line of sight (refer to instruction manual). 22 Actual Required 1.351
  • 23. Instrument errors Inspecting the EDM of the total station Permanently mark four runs within the range typical for the user (e.g. between 20 m and 200 m). Using a new distancer, or one that has been cali- brated on a standard baseline, measure these distances three times. The mean values, corrected for atmospheric influences (refer to the user manual) can be regarded as being the required values. Using these four runs, mea- sure with each distancer at least four times per year. Provided that there are no systematic errors in excess of the expected measuring uncertainty, the distancer is in order. 23
  • 24. Instrument errors in the total station Ideally, the total station should meet the following requirements: a) Line of sight ZZ perpen- dicular to tilting axis KK b) Tilting axis KK perpen- dicular to vertical axis VV c) Vertical axis VV strictly vertical d) Vertical-circle reading precisely zero at the zenith If these conditions are not met, the following terms are used to describe the particular errors: a) Line-of-sight error, or colli- mation error c (deviation from the right angle bet- ween the line of sight and the tilting axis) b) Tilting-axis error a (devia- tion from the right angle between the tilting axis and the vertical axis) c) Vertical-axis tilt (angle between plumb line and vertical axis). The effects of these three errors on the measurement of horizontal angles increase with the height difference between the target points. Taking measurements in both telescope faces eliminates line-of-sight errors and tilting-axis errors. The line-of- sight error (and, for highly- precise total stations, also the tilting-axis error, which is generally very small) can also be determined and stored. These errors are then taken into consideration automatically whenever an angle is measured, and then it is possible to take mea- surements practically free of error even using just one telescope face. The deter- mination of these errors, and their storage, are described in detail in the appropriate user manual. Vertical-axis tilt does not rate as being an instrument error; it arises because the instrument has not been adequately levelled up, and measuring in both telescope faces cannot eliminate it. Its influence on the measurement of the horizontal and vertical angles is automatically corrected by means of a two-axis compensator. d) Height-index error i (the angle between the zenith direction and the zero reading of the vertical circle, i.e. the vertical- circle reading when using a horizontal line of sight), is not 100 gon (90°), but 100 gon + i. By measuring in both faces and then averaging, the index error is eliminated; it can also be determined and stored. Note: The instrument errors change with temperature, as a result of vibration, and after long periods of transport. If you want to measure in just one face, then immediately before the measurements you must determine the instrument errors and store them. V V K K Z Z 24
  • 25. Instrument errors 25 Vertical-axis tilt Line-of-sight error (c) (Hz collimation) Height-index error (i) (V index) Tilting-axis error (a)
  • 26. Aligning from the mid-point If intermediate points are to be aligned within a line of measurement and each of the two end points cannot be seen from the other, proceed as follows: 1.Select two points 1 and 2 (both approximately in the alignment) from which both end points A and E are visible. Use sight poles to mark the points. 2.From point 1, align point 2 in the straight line 1 – A 3.From point 2, align point 3 in the straight line 2 – E 4.From point 3, align point 4 in the straight line 3 – A and continue in the same manner until no further lateral deviations are visible at the two inter- mediate points. A E A E 1 3 2 4 26
  • 27. Simple surveying tasks Measuring slopes If slopes are to be deter- mined in % or to be staked out, e.g. for gutters, pipelines or foundations, two different methods are available. 1. With a level Measure the height difference and the distance (either optically with the stadia hairs or with the tape). The slope is calculated as follows: 100 ∆H / D = slope in % 2. With a theodolite or total station Place the instrument on a point along the straight line the slope of which is to be deter- mined, and position a staff at a second point along that line. Using the telescope, determine the instrument height i at the staff. The vertical-circle reading giving the zenith angle in gon or degrees can be reset to % (refer to user manual) so that the slope can be read off directly in %. The distance is irrelevant. A reflector pole fitted with a prism can be used instead of the staff. Extend the reflector pole to the instrument height i and use the telescope to target the centre of the prism. ∆H D i i V% 27
  • 28. Measuring right-angles The most accurate way to set out a right-angle is to use a theodolite or a total station. Position the instrument on the point along the survey line from which the right-angle is to be set out, target the end point of the survey line, set the horizontal circle to zero (see user manual) and turn the total station until the horizontal circle reading is 100 gon (90°). For setting out a right- angle where the accuracy requirements are less demanding, e.g. for small buildings or when determining longitudinal and transverse profiles, the horizontal circle of a level can be used. Set up the level over the appropriate point of the survey line with the help of a plumb bob suspended from the central fixing screw of the tripod. Then turn the horizontal circle by hand to zero in the direction of the survey line or of the longitudinal profile. Finally, turn the level until the index of the circle is set to 100 gon (90°). An optical square is the best solution for the orthogonal surveying of a point on a survey line or vice versa, and for the setting out at right-angles of a point in the near distance. The beam of light from the object point is turned through 90° by a pentagonal prism so that it reaches the observer. The optical square consists of two superimposed pentagonal prisms with their fields of view facing right and left respectively. Between the two prisms is an unrestricted view of the object point. You as the observer can position yourself in the survey line (defined by two vertically- positioned alignment rods) in that you move perpen- dicularly to the line until you see the images of the two rods exactly super- imposed. Then you move yourself along the survey line until the object point and the two images of the alignment rods all coincide. 28
  • 29. Applications programs Calculating areas A B C D A 1. Set up the total station in the terrain so that it is within view of the entire area to be surveyed. It is not necessary to position the horizontal circle. 2. Determine the boundary points of the area sequentially in the clockwise direction. You must always measure a distance. 3. Afterwards, the area is calculated automatically at the touch of a button and is displayed. 29
  • 30. P' ∆D P N α 1. Set up the instrument at a known point and position the horizontal circle (refer to the sec- tion "Setting the station” in the user manual). 2.Enter manually the coor- dinates of the point to be staked out. The program automatically calculates direction and distance (the two parameters needed for staking out). 3.Turn the total station until the horizontal circle reads zero. 4.Position the reflector at this point (point P’). 5.Measure the distance; the difference in the distance ∆D to the point P will be displayed automatically. Alternatively, the coordi- nates of the points to be staked out can be trans- ferred beforehand, back in the office, from the computer to the total station. Under these circumstances, in order to stake out, only the point number then needs to be entered. Staking out 30
  • 31. Applications programs 1. Set up a reflector verti- cally beneath that point the height of which is to be determined. The total station itself can be situated anywhere. 2.Measure the distance to the reflector. 3.Target the high point. 4.The height difference H between the ground point and the high point is now calculated at the touch of a button and is displayed. Remote heights H 31
  • 32. The program determines the distance and height difference between two points. 1.Set up the total station at any location. 2.Measure the distance to each of the two points A and B. 3.The distance D and the height difference H are displayed at the touch of a button. Tie distances 32
  • 33. Applications programs N (x) Hz=0 H E (y) This program calculates the position and height of the instrument station, along with the orientation of the horizontal circle, from measurements to at least two points, the coordinates of which are known. The coordinates of the tie points can be entered manually or they can be stored in the instrument beforehand. Free stationing has the great advantage that, for large projects involving surveying or staking out, you can choose the most favourable station for the instrument. You are no longer forced to use a known point that is in an unsatisfactory location. Free-station surveys The options for measuring, and the measuring procedure, are described in detail in the user manuals. Note: When performing survey tasks that involve determining heights or staking them out, always remember to take the height of the instrument and that of the reflector into account. 33
  • 34. 34 GPS surveys use the signals transmitted by satellites having trajectories such that any point on the Earth’s surface can be determined around the clock and independently of weather conditions. The positioning accuracy depends on the type of GPS receiver and on the observation and post- processing techniques used. Compared with the use of a total station, GPS surveying offers the advantage that the points to be measured do not have to be mutually visible. Today, provided that the sky is relatively unobstructed (by trees, buildings etc.) and there- fore that adequate satellite signals can be received, GPS equipment can be applied to many survey Surveying with GPS tasks that until recently were carried out using electronic total stations. The new GPS System 1200 from Leica Geosystems enables the most diverse range of survey tasks to be carried out with centimetre accuracy – on the tripod; on the plumbing pole; on ships, vehicles and construction plant; and using both static and kinematic applications.
  • 35. Surveying with GPS Also known as a Conti- nuously Operating Refe- rence Station (CORS), this is typically a dual-frequency GPS receiver located at known coordinates, supplied with permanent power and connected to several communication devices. A CORS normally logs GPS data for use in post- processing tasks, or supplies real-time GPS correction data to DGPS and/or RTK applications. In many cases, it performs both tasks satisfying the demands of many different applications including surveying, engineering, construction, geodetic control, GIS, monitoring, tectonic studies and hydro- graphy. With additional CORS, larger areas even countries can be covered GPS Reference Stations 35 with a CORS Network infrastructure. CORS are controlled remotely by a specialised software program, such as Leica GPS Spider, which connects to the CORS via a range of telecommuni- cation media; serial, radio or phone modem, even the Internet. Once configured, a CORS network with GPS1200 and GPS500 receivers will run con- tinuously supplying the full range of GPS data, DGPS, RTK and network RTK services to users in the network.
  • 36. Leica Geosystems AG CH-9435 Heerbrugg (Switzerland) Phone +41 71 727 31 31 Fax +41 71 727 46 73 www.leica-geosystems.com Illustrations, descriptions and technical data are not binding and may be changed. Printed in Switzerland. Copyright Leica Geosystems AG, Heerbrugg, Switzerland, 2004 722510en – VII.04 – RVA